
def       _SCREAMING_SNAKE_CASE   (						_lowerCamelCase					:     Tuple		,    _lowerCamelCase					:     Any		,    _lowerCamelCase					:     Optional[Any]		,    _lowerCamelCase					:     str=None)   ->       Tuple:






							'''simple docstring'''





							__UpperCamelCase      :  List[Any]       =   (path or []) + [u]
							for v in graph[u]:
														if visited_edge[u][v] is False:
																					__UpperCamelCase  ,		__UpperCamelCase      :  Dict       =   True, True
																					__UpperCamelCase      :  Tuple       =   dfs(_lowerCamelCase		,    _lowerCamelCase		,    _lowerCamelCase		,    _lowerCamelCase)
							return path




def       _SCREAMING_SNAKE_CASE   (						_lowerCamelCase					:     Optional[Any]		,    _lowerCamelCase					:     Tuple)   ->       str:






							'''simple docstring'''





							__UpperCamelCase      :  Dict       =   0
							__UpperCamelCase      :  Optional[Any]       =   -1
							for i in range(_lowerCamelCase):
														if i not in graph.keys():
																					continue
														if len(graph[i]) % 2 == 1:
																					odd_degree_nodes += 1
																					__UpperCamelCase      :  List[Any]       =   i
							if odd_degree_nodes == 0:
														return 1, odd_node
							if odd_degree_nodes == 2:
														return 2, odd_node
							return 3, odd_node




def       _SCREAMING_SNAKE_CASE   (						_lowerCamelCase					:     Union[str, Any]		,    _lowerCamelCase					:     str)   ->       Optional[Any]:






							'''simple docstring'''





							__UpperCamelCase      :  Optional[int]       =   [[False for _ in range(max_node + 1)] for _ in range(max_node + 1)]
							__UpperCamelCase  ,		__UpperCamelCase      :  Tuple       =   check_circuit_or_path(_lowerCamelCase		,    _lowerCamelCase)
							if check == 3:
														print("graph is not Eulerian")
														print("no path")
														return
							__UpperCamelCase      :  Union[str, Any]       =   1
							if check == 2:
														__UpperCamelCase      :  str       =   odd_node
														print("graph has a Euler path")
							if check == 1:
														print("graph has a Euler cycle")
							__UpperCamelCase      :  Any       =   dfs(_lowerCamelCase		,    _lowerCamelCase		,    _lowerCamelCase)
							print(_lowerCamelCase)




def       _SCREAMING_SNAKE_CASE   (						)   ->       str:






							'''simple docstring'''





							__UpperCamelCase      :  Union[str, Any]       =   {1: [2, 3, 4], 2: [1, 3], 3: [1, 2], 4: [1, 5], 5: [4]}
							__UpperCamelCase      :  List[Any]       =   {1: [2, 3, 4, 5], 2: [1, 3], 3: [1, 2], 4: [1, 5], 5: [1, 4]}
							__UpperCamelCase      :  Optional[Any]       =   {1: [2, 3, 4], 2: [1, 3, 4], 3: [1, 2], 4: [1, 2, 5], 5: [4]}
							__UpperCamelCase      :  List[Any]       =   {1: [2, 3], 2: [1, 3], 3: [1, 2]}
							__UpperCamelCase      :  Optional[int]       =   {
							    1: [],
							    2: []
							    # all degree is zero
							}
							__UpperCamelCase      :  Optional[Any]       =   10
							check_euler(_lowerCamelCase		,    _lowerCamelCase)
							check_euler(_lowerCamelCase		,    _lowerCamelCase)
							check_euler(_lowerCamelCase		,    _lowerCamelCase)
							check_euler(_lowerCamelCase		,    _lowerCamelCase)
							check_euler(_lowerCamelCase		,    _lowerCamelCase)


if __name__ == "__main__":
		main()

"""simple docstring"""






from collections import namedtuple

UpperCAmelCase        =				namedtuple("""from_to""", """from_ to""")

UpperCAmelCase        =				{
    """cubicmeter""": from_to(1, 1),
    """litre""": from_to(0.001, 1_0_0_0),
    """kilolitre""": from_to(1, 1),
    """gallon""": from_to(0.00_454, 264.172),
    """cubicyard""": from_to(0.76_455, 1.30_795),
    """cubicfoot""": from_to(0.028, 35.3_147),
    """cup""": from_to(0.000_236_588, 4_226.75),
}




def __magic_name__	(				_lowerCamelCase:		float,					_lowerCamelCase:		str,					_lowerCamelCase:		str			)					->						float:

	'''simple docstring'''




	if from_type not in METRIC_CONVERSION:
		raise ValueError(
		    F"""Invalid 'from_type' value: {from_type!r}  Supported values are:\n"""
		    + ''', '''.join(_lowerCamelCase			)			)
	if to_type not in METRIC_CONVERSION:
		raise ValueError(
		    F"""Invalid 'to_type' value: {to_type!r}.  Supported values are:\n"""
		    + ''', '''.join(_lowerCamelCase			)			)
	return value * METRIC_CONVERSION[from_type].from_ * METRIC_CONVERSION[to_type].to


if __name__ == "__main__":
					import doctest

					doctest.testmod()


